Answer:
C(x) = 0.6x+ 15,000 and R(x) = 1.25x where x is the number of units produced.
1 answer:
The profit function is the difference between the cost and revenue functions
The profit function is
The functions are given as:
- Cost function: C(x) =0.6x + 15000
- Revenue function: R(x) =1.25x
The profit function is then calculated as:
So, we have:
Evaluate the differences
Hence, the profit function is
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Answer:
Total Distance = 2 miles
Step-by-step explanation:
We know D = RT where
D is distance
R is rate (speed)
T is time
First Leg:
Rate = x mph
Time = 20/60 = 1/3 hour
Hence, D = RT, Distance = x * 1/3 = x/3 miles
Second Leg:
Rate = x - 1
Time = 30/60 = 1/2 hour
Distance = (x - 1) * 1/2 = (x-1)/2
Total distance is the sum of both the legs, hence,
Total distance = miles
Since both the distance are equal we can equate and solve:
Plugging this x = 3 into the total distance expression, we get:
Total distance, 2 miles